On the Stability of theNCycle Scheme of Lorenz
- 1 March 1974
- journal article
- Published by American Meteorological Society in Monthly Weather Review
- Vol. 102 (3) , 254-256
- https://doi.org/10.1175/1520-0493(1974)102<0254:otsotc>2.0.co;2
Abstract
The stability of the N-cycle scheme of Lorenz for hyperbolic systems of partial differential equations and for parabolic equations is explored. Stability conditions are given explicitly. For hyperbolic systems, the results indicate that the fourth-order scheme is the most efficient. For the parabolic equation the results indicate that the stability condition is not, as was suggested by Lorenz, independent of N.Keywords
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